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Finding the Third Proportional to 643,716 and 1,370,592

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Solution

The third proportional to 643,716 and 1,370,592 is: 2,918,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,716 : 1,370,592 = 1,370,592 : x
  2. Step 2: Convert to fraction form
    643,716/1,370,592 = 1,370,592/x
  3. Step 3: Cross multiply
    643,716x = 1,370,592 × 1,370,592
  4. Step 4: Simplify right side
    643,716x = 1,878,522,430,464
  5. Step 5: Solve for x
    x = 1,878,522,430,464/643,716
  6. Step 6: Final answer
    x = 2,918,247.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.